| Description |
1 online resource |
| Series |
SpringerBriefs in electrical and computer engineering. Control, automation and robotics |
|
SpringerBriefs in electrical and computer engineering. Control, automation and robotics.
|
| Contents |
Chapter 1. Introduction -- Chapter 2. Unconstrained Optimization on Riemannian Manifolds -- Chapter 3. Conjugate Gradient Methods on Manifolds -- Chapter 4. Applications of Riemannian Optimization |
| Summary |
This brief describes the basics of Riemannian optimization--optimization on Riemannian manifolds--introduces algorithms for Riemannian optimization problems, discusses the theoretical properties of these algorithms, and suggests possible applications of Riemannian optimization to problems in other fields. To provide the reader with a smooth introduction to Riemannian optimization, brief reviews of mathematical optimization in Euclidean spaces and Riemannian geometry are included. Riemannian optimization is then introduced by merging these concepts. In particular, the Euclidean and Riemannian conjugate gradient methods are discussed in detail. A brief review of recent developments in Riemannian optimization is also provided. Riemannian optimization methods are applicable to many problems in various fields. This brief discusses some important applications including the eigenvalue and singular value decompositions in numerical linear algebra, optimal model reduction in control engineering, and canonical correlation analysis in statistics |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from digital title page (viewed on March 24, 2021) |
| Subject |
Riemannian manifolds.
|
|
Mathematical optimization.
|
|
Mathematical optimization
|
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Riemannian manifolds
|
| Genre/Form |
Electronic books
|
| Form |
Electronic book
|
| ISBN |
9783030623913 |
|
3030623912 |
|
